Spectroscopic factor strengths using ab initio approaches

We have calculated the spectroscopic factor strengths for the one-proton and one-neutron pick-up reactions ${}^{27}\mathrm{Al}$($d,{}^3\mathrm{He}$)${}^{26}\mathrm{Mg}$ and ${}^{27}\mathrm{Al}$($d,t$)${}^{26}\mathrm{Al}$ within the framework of the shell model. We employed two different ab initio approaches: an in-medium similarity renormalization targeted for a particular nucleus, and the coupled-cluster effective interaction. We also compared our results with recently determined experimental spectroscopic factors.

Figure 1

Comparison between calculated energy levels and experimental data for ${}^{26}\mathrm{Mg}$.

Figure 2

Comparison between calculated energy levels and experimental data for ${}^{26}\mathrm{Al}$.

Figure 3

$C^{2}S$ comparison between calculated and extracted values from experimental data using the zero-range DWBA model calculation [17] for ${}^{26}\mathrm{Mg}$.

Figure 4

$C^{2}S$ comparison between calculated and extracted values from experimental data using the zero-range DWBA model calculations [25] for ${}^{26}\mathrm{Al}$.